Preprint

2-Knots with solvable groups

Jonathan A. Hillman

Abstract

The 2-knots with torsion-free, elementary amenable knot group
and which have not yet been fully classified are fibred, with
closed fibre the Hantzsche-Wendt flat 3-manifold HW or a
Nil-manifold with base orbifold S(3,3,3). We give
explicit normal forms for the strict weight orbits of normal
generators for the groups of such knots, and determine when the
knots are amphicheiral or invertible.